A Holographic Model of Two-Band Superconductor

TL;DR

This paper develops a holographic two-band superconductor model incorporating Josephson coupling, analyzing its effects on condensates, critical temperature, and conductivity, revealing a nodeless structure at low temperatures.

Contribution

It introduces a novel holographic two-band superconductor model with interband Josephson coupling and analyzes its properties both numerically and analytically.

Findings

Josephson coupling influences condensate behavior and critical temperature.

AC conductivity resembles that of single-band superconductors.

The superconductor exhibits a nodeless gap at low temperatures.

Abstract

We construct a holographic two-band superconductor model with interband Josephson coupling. We investigate the effects the Josephson coupling has on the superconducting condensates and the critical temperature for their formation numerically, as well as analytically where possible. We calculate the AC conductivity and find it qualitatively similar to the single band superconductor. We investigate the nodal structure of our holographic two-band superconductor from the low temperature behavior of the thermal conductivity and find it nodeless.